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[ 1/1 Equation]
Work: Find the solution of equation 1.25 = (950+1.19x1+1.335x2)/(750+x1+x2) .
Question type: Equation
Solution:Original question:| | 5 4 | = | ( | 950 | + | 119 100 | x | × | 1 | + | 267 200 | x | × | 2 | ) | ÷ | ( | 750 | + | x | × | 1 | + | x | × | 2 | ) |
| Multiply both sides of the equation by: | ( | 750 | + | x | × | 1 | + | x | × | 2 | ) |
| | 5 4 | ( | 750 | + | x | × | 1 | + | x | × | 2 | ) | = | ( | 950 | + | 119 100 | x | × | 1 | + | 267 200 | x | × | 2 | ) |
Remove a bracket on the left of the equation::
| | 5 4 | × | 750 | + | 5 4 | x | × | 1 | + | 5 4 | x | × | 2 | = | ( | 950 | + | 119 100 | x | × | 1 | + | 267 200 | x | × | 2 | ) |
Remove a bracket on the right of the equation::
| | 5 4 | × | 750 | + | 5 4 | x | × | 1 | + | 5 4 | x | × | 2 | = | 950 | + | 119 100 | x | × | 1 | + | 267 200 | x | × | 2 |
The equation is reduced to :
| | 1875 2 | + | 5 4 | x | + | 5 2 | x | = | 950 | + | 119 100 | x | + | 267 100 | x |
The equation is reduced to :
| | 1875 2 | + | 15 4 | x | = | 950 | + | 193 50 | x |
Transposition :
| | 15 4 | x | − | 193 50 | x | = | 950 | − | 1875 2 |
Combine the items on the left of the equation:
Combine the items on the right of the equation:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
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